《视学》是清代年希尧著几何书,截图来自清雍正十三年(1735)刻本(PDF)。
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《弧三角举要》是清代梅文鼎撰算书,中国第一部球面三角学教科书。弧三角法在清代乾隆年间的小说《野叟曝言》里有所提及。截图源自网络。
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素臣道:“那桌上的算书所载各法,你都学会么?”璇姑道:“虽非精熟,却还算得上来。”素臣欢喜道:“那签上写着《九章算法》,颇是烦难,不想你都会了。将来再教你《三角算法》,便可量天测地,推步日月五星。”璇姑大喜道:“小奴生性,最爱算法,却不知有《三角》名色,万望相公指示。”素臣道:“《三角》只不过推广《勾股》,其所列四率,亦不过异乘同除。但其中曲折较多。还有《弧三角法》,更须推算次形。我家中现有成书,将来自可学习,也不是一时性急的事。”当将钝角、锐角,截作两勾股,与补成一勾股之法,先与细细讲解。正讲到割圆之法,大郎夫妇已收拾早饭进房,令璇姑同吃。璇姑请素臣上坐,自己侧首相陪。璇姑心爱算学,吃饭时津津而问。素臣也将箸蘸着汁汤,在桌上画那全圆弧矢弦径之形,逐一指示。璇姑资性聪明,兼与算法有缘,一经指点,件件都有悟头。素臣大喜道:“我留心算法,到处讲说,绝少会心之人。不料你这小小女子,反有如此聪明,海内虽无高弟,闺中自有传人,我无忧矣。”吃完了饭,一面吃茶,一面讨过纸笔,写出几个三角求积,容圆,容方的图形,于三边注明丈尺,叫璇姑推算。璇姑细看一会,在后面余纸之上,也画作几个图形,将三边丈尺增减,较原图容积,各得十分之六。素臣拍案道:“大奇,大奇,此真可与言算矣!”因把八线之理,细细讲解,画了又说,说了又画,外面午饭拿来,也不歇手,带吃带画带说,没个住头。
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《弧三角举要》是清代梅文鼎撰算书,中国第一部球面三角学教科书。弧三角法在清代乾隆年间的小说《野叟曝言》里有所提及。截图源自网络。
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素臣道:“那桌上的算书所载各法,你都学会么?”璇姑道:“虽非精熟,却还算得上来。”素臣欢喜道:“那签上写着《九章算法》,颇是烦难,不想你都会了。将来再教你《三角算法》,便可量天测地,推步日月五星。”璇姑大喜道:“小奴生性,最爱算法,却不知有《三角》名色,万望相公指示。”素臣道:“《三角》只不过推广《勾股》,其所列四率,亦不过异乘同除。但其中曲折较多。还有《弧三角法》,更须推算次形。我家中现有成书,将来自可学习,也不是一时性急的事。”当将钝角、锐角,截作两勾股,与补成一勾股之法,先与细细讲解。正讲到割圆之法,大郎夫妇已收拾早饭进房,令璇姑同吃。璇姑请素臣上坐,自己侧首相陪。璇姑心爱算学,吃饭时津津而问。素臣也将箸蘸着汁汤,在桌上画那全圆弧矢弦径之形,逐一指示。璇姑资性聪明,兼与算法有缘,一经指点,件件都有悟头。素臣大喜道:“我留心算法,到处讲说,绝少会心之人。不料你这小小女子,反有如此聪明,海内虽无高弟,闺中自有传人,我无忧矣。”吃完了饭,一面吃茶,一面讨过纸笔,写出几个三角求积,容圆,容方的图形,于三边注明丈尺,叫璇姑推算。璇姑细看一会,在后面余纸之上,也画作几个图形,将三边丈尺增减,较原图容积,各得十分之六。素臣拍案道:“大奇,大奇,此真可与言算矣!”因把八线之理,细细讲解,画了又说,说了又画,外面午饭拿来,也不歇手,带吃带画带说,没个住头。